Matematika

Pertanyaan

tolong d jawab yh buat bsk plis:)
no 15,16,17,18,19,20
tolong d jawab yh buat bsk plis:) no 15,16,17,18,19,20

1 Jawaban

  • 15) x + y - 2 = 0
    y = - x - 2
    m = - 1
    gradien sejajar m1 = m2 = - 1
    pers garis
    y - y1 = m ( x - X1 )
    y - 0 = - 1 ( x + 5 )
    y = - x - 5
    y + x + 5 = 0 ( C )

    16) 2y - 3x = 6
    2y = 3x + 6
    m = 3/2
    gradien saling tegak lurus
    m1 . m2 = - 1
    3/2 . m2 = - 1
    m2 = - ⅔ ( B )

    17) 4y - 2x = 8
    4y = 2x + 8
    m = 2/4
    m = ½
    gradien saling tegak lurus
    m1 . m2 = - 1
    ½ • m2 = - 1
    m2 = - 2
    tegak lurus dg garis pers :
    2x + y = 6
    y = - 2x + 6
    m = - 2 ( C )

    18) y = 3x + 2
    m = 3
    gradien saling tegak lurus
    m1 . m2 = - 1
    3 . m2 = - 1
    m2 = - ⅓
    pers garis
    y - y1 = m ( x - X1 )
    y + 1 = - ⅓ ( x - 6 )
    y = - ⅓x + 2 - 1
    y = - ⅓x + 1 ( C )

    19) pers garis 1
    y - y1 = m ( x - X1 )
    y - 3 = 3 ( x + 2 )
    y = 3x + 6 + 3
    y = 3x + 9
    pers garis 2
    ( y - y1 ) / ( y2 - y1 ) = ( x - X1 ) / ( x2 - X1 )
    ( y + 7 ) / ( 11 + 7 ) = ( x + 5 ) / ( 4 + 5 )
    ( y + 7 ) / 18 = ( x + 5 ) / 9
    9 ( y + 7 ) = 18 ( x + 5 )
    9y + 63 = 18x + 90
    9y = 18x - 63 + 90
    9y = 18x + 27
    y = 2x + 3
    ttk potong
    y1 = y2
    3x + 9 = 2x + 3
    3x - 2x = 3 - 9
    x = - 6
    subtitusi
    y = 2x + 3
    y = 2(-6) + 3
    y = - 12 + 3
    y = - 9
    ttk potong ( - 6,-9 ) ( D )

    20) garis y = - 3x
    m = - 3
    gradien saling sejajar
    m1 = m2 = - 3
    ttk potong
    y1 = y2
    2x + 7 = x + 2
    2x - x = 2 - 7
    x = - 5
    subtitusi
    y = x + 2
    y = - 5 + 2
    y = - 3
    ttk potong ( - 5, - 3 )
    pers garis
    y - y1 = m ( x - X1 )
    y + 3 = - 3 ( x + 5 )
    y = - 3x - 15 - 3
    y = - 3x - 18 ( tdk ada opsi pilihan )